11224980 has 180 divisors, whose sum is σ = 39060252. Its totient is φ = 2695680.

The previous prime is 11224973. The next prime is 11224999. The reversal of 11224980 is 8942211.

11224980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 6081156 = 2268^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273760 + ... + 273800.

Almost surely, 2^11224980 is an apocalyptic number.

11224980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530126).

11224980 is an abundant number, since it is smaller than the sum of its proper divisors (27835272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11224980 is a wasteful number, since it uses less digits than its factorization.

11224980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11224980 is about 3350.3701288067. The cubic root of 11224980 is about 223.9040032961.

The spelling of 11224980 in words is "eleven million, two hundred twenty-four thousand, nine hundred eighty".